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2067093432 = 233471179251
BaseRepresentation
bin111101100110101…
…0101011110111000
312100001121020010000
41323031111132320
513213133442212
6541040553000
7102140001315
oct17315253670
95301536100
102067093432
11970902988
12498322760
1326c338c11
14158761d0c
15c17171dc
hex7b3557b8

2067093432 has 160 divisors (see below), whose sum is σ = 5927644800. Its totient is φ = 672840000.

The previous prime is 2067093419. The next prime is 2067093437. The reversal of 2067093432 is 2343907602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067093437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8235307 + ... + 8235557.

It is an arithmetic number, because the mean of its divisors is an integer number (37047780).

Almost surely, 22067093432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067093432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963822400).

2067093432 is an abundant number, since it is smaller than the sum of its proper divisors (3860551368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2067093432 is a wasteful number, since it uses less digits than its factorization.

2067093432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2067093432 is about 45465.2992071976. The cubic root of 2067093432 is about 1273.8551162062.

The spelling of 2067093432 in words is "two billion, sixty-seven million, ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 179 213 216 251 284 324 358 426 502 537 568 639 648 716 753 852 1004 1074 1278 1432 1506 1611 1704 1917 2008 2148 2259 2556 3012 3222 3834 4296 4518 4833 5112 5751 6024 6444 6777 7668 9036 9666 11502 12709 12888 13554 14499 15336 17821 18072 19332 20331 23004 25418 27108 28998 35642 38127 38664 40662 44929 46008 50836 53463 54216 57996 71284 76254 81324 89858 101672 106926 114381 115992 134787 142568 152508 160389 162648 179716 213852 228762 269574 305016 320778 343143 359432 404361 427704 457524 481167 539148 641556 686286 808722 915048 962334 1029429 1078296 1213083 1283112 1372572 1443501 1617444 1924668 2058858 2426166 2745144 2887002 3189959 3234888 3639249 3849336 4117716 4852332 5774004 6379918 7278498 8235432 9569877 9704664 11548008 12759836 14556996 19139754 25519672 28709631 29113992 38279508 57419262 76559016 86128893 114838524 172257786 229677048 258386679 344515572 516773358 689031144 1033546716 2067093432